The former French champions are reportedly eager to offload the 23-year-old, who is the second highest paid player at the club after Mathieu Valbuena.
"The club has been clear - if they get a good offer, they'll listen," he told Sky Sports News.
"But I'm not going to leave just to please them. If I go, it'll be to a club capable of winning trophies."
Ayew's current contract with Marseille runs until June 2015.